Stabilization of semilinear wave equations with time-dependent variable coefficients and memory
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Date
2023-04-13
Authors
Li, Sheng-Jie
Chai, Shugen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we study the stabilization of semilinear wave equations with time-dependent variable coefficients and memory in the nonlinear boundary feedback. We obtain the energy decay rate of the solution by an equivalent energy approach in the framework of Riemannian geometry.
Description
Keywords
Semilinear wave equation, Time-dependent variable coefficient, Memory, Riemannian geometry method
Citation
Li, S. J., & Chai, S. (2023). Stabilization of semilinear wave equations with time-dependent variable coefficients and memory. <i>Electronic Journal of Differential Equations, 2023</i>(36), pp. 1-14.